83632967296 has 64 divisors (see below), whose sum is σ = 174435055200. Its totient is φ = 39887948800.

The previous prime is 83632967291. The next prime is 83632967317. The reversal of 83632967296 is 69276923638.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83632967291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172371 + ... + 443821.

Almost surely, 2^83632967296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83632967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87217527600).

83632967296 is an abundant number, since it is smaller than the sum of its proper divisors (90802087904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83632967296 is a wasteful number, since it uses less digits than its factorization.

83632967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271577 (or 271565 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 61.

The spelling of 83632967296 in words is "eighty-three billion, six hundred thirty-two million, nine hundred sixty-seven thousand, two hundred ninety-six".